{
 "metadata": {
  "name": "",
  "signature": "sha256:45ba98b049e21302bd04c83a340575c11334697df30d2f491688a08b78522c56"
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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Sacramento Reach Fitting Example\n",
      "\n",
      "This notebook shows the end-to-end reach fitting machinery using simulated SWOT data for the Sacramento River. It illustrates how to use the width data\n",
      "stored in a database to restrict the maximum width separately at each river node. It also illustrates how to refine the centerline if the centerline does not match the data.\n",
      "\n",
      "Below are the Python modules developped for fitting SWOT data over the each:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as N\n",
      "from SWOTRiver import SWOTL2\n",
      "from SWOTRiver import ReachExtractor\n",
      "from SWOTRiver import RiverObs\n",
      "from SWOTRiver import FitRiver\n",
      "from SWOTRiver import WidthDataBase\n",
      "from SWOTRiver import IteratedRiverObs\n",
      "\n",
      "# For plotting\n",
      "\n",
      "%pylab inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Read the simulation data\n",
      "\n",
      "In this step, the data are read, a projection to (x,y) coordinates is defined, and the data bounding box is found.\n",
      "\n",
      "The data locations are given below:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# This is the file for the width data base\n",
      "\n",
      "#width_db_dir = '/Volumes/Reservoir/Data/GWD-LR/nAmerica_GRWDL/'\n",
      "width_db_dir = '../../data/'\n",
      "width_db_file = width_db_dir+'nAmerica_GRWDL.h5'\n",
      "\n",
      "# This is the SWOT data\n",
      "\n",
      "#data_dir = '/Volumes/Reservoir/Data/SWOT/'\n",
      "data_dir = '../../data/SWOT/'\n",
      "l2_file = (data_dir +\n",
      "'swot_intf_line2-9_cycle_0001_pass_0014_w0.23_15dB_dem0.1slp.RightSwath.nc')\n",
      "\n",
      "# This is the file for the reach data base\n",
      "\n",
      "db_dir = '../../data/nAmerica_GRWDL_river_topo/'\n",
      "shape_file_root = db_dir+'nAmerica_GRWDL_river_topo'"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "For this example, only data with classification=1 labels are used (pure water pixels) and the latitude and longitude are assumed to be known from the reference interferogram."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "class_list=[1]\n",
      "lat_kwd='no_layover_latitude'\n",
      "lon_kwd='no_layover_longitude'\n",
      "\n",
      "l2 = SWOTL2(l2_file,class_list=class_list,lat_kwd=lat_kwd,lon_kwd=lon_kwd)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Dataset opened\n",
        "Bounding box calculated\n",
        "Good data selected\n",
        "lat/lon read\n",
        "projection set and x,y calculated\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The heights to be used are the noisy height and the water_height, the true height weighted by the radar response."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "h = l2.get('height')\n",
      "htrue = l2.get('water_height')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Extract the river reaches overlapping the data bounding box\n",
      "\n",
      "In this case, the reaches are from the North America Global River Width Database for Large Rivers. The data were made by [Tamlin Pavelsky](mailto:pavelsky@unc.edu) and [George Allen](mailto:georgehenryallen@gmail.com) and modified by [Ernesto Rodriguez](mailto:ernesto.rodriguez@jpl.nasa.gov) so that reaches appeared as topologically connected. The results are in the shapefile *nAmerica_GRWDL_river_topo.shp*.\n",
      "\n",
      "The next step scans through the database and finds all of the overlapping reaches in the data base (only one is found). A small buffer of about 2km is placed about the data bounding box to make sure the river is not cut."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "clip_buffer = 0.02\n",
      "reaches = ReachExtractor(shape_file_root, l2,clip_buffer=clip_buffer)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The following step prints out the reach index and metadata:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print 'Reach indexes:',reaches.reach_idx\n",
      "print 'Metadata:'\n",
      "reaches[0].metadata"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Reach indexes: [704]\n",
        "Metadata:\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "{'break_idx': 1388940,\n",
        " 'latmax': 40.03200149536133,\n",
        " 'latmin': 38.16350173950195,\n",
        " 'lonmax': -121.5009994506836,\n",
        " 'lonmin': -122.11900329589844,\n",
        " 'npoints': 10144,\n",
        " 'reach': 375745.03125,\n",
        " 'reach_idx': 704,\n",
        " 'width_max': 532.0,\n",
        " 'width_mean': 115.74655151367188,\n",
        " 'width_min': 30.0,\n",
        " 'width_std': 52.802425384521484}"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Extract the width information for this reach from the width database"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "width_db = WidthDataBase(width_db_file)\n",
      "\n",
      "max_width = width_db.get_river(reaches.reach_idx[0],\n",
      "                                      columns=['width'],\n",
      "                             asarray=True,transpose=False,\n",
      "                             bounding_box=l2.bounding_box,\n",
      "                             clip_buffer=clip_buffer)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print 'max_width length:',len(max_width)\n",
      "print 'x length:',len(reaches[0].x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "max_width length: 1915\n",
        "x length: 1915\n"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Look at where the centerline lies with respect to the data\n",
      "\n",
      "From this figure, it is clear that the centerline and the SRTM water mask align well in many places, but can have disagreements that are significant compared to the width."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(8,8)\n",
      "plot(l2.x/1.e3,l2.y/1.e3,'k,',alpha=0.1)\n",
      "scatter(reaches[0].x/1.e3,reaches[0].y/1.e3,\n",
      "        c=max_width,\n",
      "        edgecolor='none',alpha=0.2,\n",
      "        vmin=0,vmax=300)\n",
      "xlim(-5,5 )\n",
      "ylim(-10,10)\n",
      "colorbar(label='Width');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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fbv7e5/h8Pq666iquv/56Lr/8crZv386BAwcYPnw4AIcPH2bUqFF89tlnpKSk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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c812110>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "**Caption**: In the observations above, the measurement locations are black pixels, while the centerline is in color, width the color representing the estimated width. Notice that the river meanders significantly (i.e., by more than the estimated width) away from the centerline. Notice also that the estimated width does not seem to agree well with the data point distribution."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Refining the centerline and associating a width to it\n",
      "\n",
      "Use IteratedRiverObs to refine the centerline and resample the width to the new centerline. Note that the parameter `scalar_max_with` is set large, since a significant number of points are far away from the guessed centerline."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# First step, initialize observations\n",
      "\n",
      "scalar_max_width = 600.\n",
      "\n",
      "ds = 50.\n",
      "minobs = 10\n",
      "river_obs = IteratedRiverObs(reaches[0],l2.x,l2.y,\n",
      "                         ds=ds,max_width=scalar_max_width,minobs=minobs) "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Centerline initialized\n",
        "Local coordiantes calculated"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Plot the distribution of distances to the input centerline:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(10,5)\n",
      "subplot(1,2,1)\n",
      "hist(river_obs.d,bins=100,log=False)\n",
      "xlabel('Distance to node (m)')\n",
      "ylabel('N observations')\n",
      "grid();\n",
      "subplot(1,2,2)\n",
      "hist(river_obs.n,bins=100,log=False)\n",
      "xlabel('Normal coordinate (m)')\n",
      "ylabel('N observations')\n",
      "grid();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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+oCgYAAQHByMwMBDnz59HfX09zp8/j169emHz5s1IS0sD0Dgz+saNGwEAmzZt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\nvAEAAFiE8AYAAGCRVx7nybQSZFsBAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c83a550>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "**Caption**: Notice that the distribution is skewed and contains points that outside the nominal river width."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The following step, refines the centerline, but a max_width vector is not yet associated with it."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "weights = True\n",
      "smooth = 1.e-2\n",
      "river_obs.iterate(weights=weights,smooth=smooth)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "iteration 0 maximum coordinate change: 279.979169\n"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now look at the new centerline (no widths associated)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# retrieve the centerline coordinates\n",
      "\n",
      "xc, yc = river_obs.get_centerline_xy()\n",
      "\n",
      "figsize(8,8)\n",
      "plot(l2.x/1.e3,l2.y/1.e3,'k,',alpha=0.1)\n",
      "scatter(xc/1.e3,yc/1.e3,c='b',\n",
      "        #c=max_width,\n",
      "        edgecolor='none',alpha=0.2)#,\n",
      "        #vmin=0,vmax=300)\n",
      "xlim(-5,5 )\n",
      "ylim(-10,10);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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CX4W/v1o+NX06zJ+fxy23pHDkSAbz5m3g0KG1fPBBIbNnz+K//svM+PGh9Pc3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\nAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11e98fb50>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now look at the new distribution of points relative to the new centerline:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(10,5)\n",
      "subplot(1,2,1)\n",
      "hist(river_obs.d,bins=100,log=False)\n",
      "xlabel('Distance to node (m)')\n",
      "ylabel('N observations')\n",
      "grid();\n",
      "subplot(1,2,2)\n",
      "hist(river_obs.n,bins=100,log=False)\n",
      "xlabel('Normal coordinate (m)')\n",
      "ylabel('N observations')\n",
      "grid();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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HcQCnJg7gyB2afolhyJAhWLJkCY4ePYrrr79eyo7PPdZz6RgMBoSEhHn0mWWb\nh2ce52TLA8iXSbY8rvD9Psy7VNkHVMlpZdY7gEtU2aaq5HRXuwO4rVu3okuXLkhNTcXw4cPx8ssv\n4/jx4y49+YkTJzB69GgMHjwYsbGxWLlyJQCgqqoKKSkpGDBgAMaOHYvq6mrbY7KyshAVFYXo6Ghs\n377d1l5QUIC4uDhERUVh9uzZHV1PJ5rOpSNQW3vOg89LRDJwpw9zJCsrC4MHD0ZcXBymTJmCK1eu\ndKpfIyLqNNEBR44cEVOnThUBAQEu/X5FRYU4cOCAEEKI2tpaMWDAAFFUVCTmzp0rli5dKoQQIjs7\nW8yfP18IIcShQ4dEfHy8qK+vFyUlJaJfv37CYrEIIYQYMWKE2Lt3rxBCiPHjx4ucnJw2y2u9OgAE\n0Px/e20t7yMidXT0PdvRPsyekpIS0adPH1FXVyeEECI1NVWsX7++Q/1aY2Oj2+tCcnB+fPFeG6nJ\nndeu3U/gAKC0tBRLly7Fo48+in//+9/43e9+59LgMDw8HAkJCQCAbt26YdCgQSgrK8PWrVuRnp4O\nwHq29M2bNwMAtmzZgrS0NAQFBSEyMhL9+/fH3r17UVFRgdraWiQlJQEApk2bZnsMEVF7OtuH2RMS\nEoKgoCBcunQJDQ0NuHTpEm666aYO9Wv79u3zyHoRkf9qdwA3cuRIPPjgg7BYLPjLX/6Cffv2tbiu\noKtKS0tx4MABjBw5EpWVlTAajQAAo9GIyspKAEB5eTlMJpPtMSaTCWVlZW3aIyIiUFZW1uEM3ibb\nPDzzOCdbHkC+TLLlcYWn+rAmYWFheOaZZ3DLLbfgpptuQmhoKFJSUjrcr6lKlX1AlZxWZr0DuESV\nbapKTnc5vBYqAFgsFkyePBnz5893ayEXLlzAQw89hBUrViA4OLjFfU1fIPCUjIwMREZGNmsxO/jZ\n3u2WF8Ft2gk6e7uwsNCtx3v6NvOolcdsNqOwsJB5Wi2/qbastLQU7fFUH9bc0aNH8eqrr6K0tBTd\nu3fHI488gnfeeafF77TXrzm6r3n/FRoaioSEBKle/+ZkyaP3+/ma9m43tSW3c3/nns8f3v++cLvp\nZ1f6r3a1N8c6dOjQTs/PCiFEfX29GDt2rFi+fLmtbeDAgaKiokIIIUR5ebkYOHCgEEKIrKwskZWV\nZfu9cePGifz8fFFRUSGio6Nt7e+995544okn2iyr9eqANXBEPs2V96y7fVhr77//vpgxY4bt9ltv\nvSVmzZqWAm/lAAAgAElEQVQloqOjO9Svtcb+R03Ojy+sgSPn3Hnt2p1CTUlJwcsvv4wTJ06gqqrK\n9s/FwSFmzJiBmJgYzJkzx9Z+//3348033wQAvPnmm3jggQds7e+//z7q6+tRUlKC4uJiJCUlITw8\nHCEhIdi7dy+EEHj77bdtjyEicsadPsye6Oho5Ofn4/LlyxBCYMeOHYiJicGkSZM61K8REbmlvRHe\nrbfeKiIjI9v8c8WuXbuEwWAQ8fHxIiEhQSQkJIicnBxx9uxZMWbMGBEVFSVSUlLEuXPnbI958cUX\nRb9+/cTAgQNFbm6urf3zzz8XsbGxol+/fuLJJ5+0u7zWqwOdP4HLy8vz6PO5i3mcky2PEPJlki2P\nK+9Zd/owR5YuXSpiYmJEbGysmDZtmqivr+9Uv9bRdZGBbPuAI97K6fz44mpbnhKfwPG19zx3Xjun\nNXCAa3Umjtx5552wWCx279uxY4fd9ueeew7PPfdcm/Zhw4bh4MGDnc5CRP7JI7UmrcybNw/z5s1r\n0RYWFtbhfo2IqLPavZTWxYsX8corr+D48eNYs2YNiouLcfjwYUycONFbGV3W2UtpNb+vnc1BRBJx\n5TI0qvRhvJSWmngpLXKHppfSyszMRNeuXbFnzx4AwE033YRf/epXnVoYEZG3sQ8jIl/U7gDu6NGj\nmD9/Prp27QoA+N73vqd5KF/R9mvm+mIe52TLA8iXSbY8rmAf5lmq7AOq5LQy6x3AJapsU1Vyuqvd\nAdx1112Hy5cv224fPXoU1113naahiIg8hX0YEfmidmvgtm/fjhdffBFFRUVISUnB7t27sX79eowe\nPdpbGV3GGjgi/+JK/YgqfRhr4NTEGjhyhzvv+3YHcABw5swZ5OfnAwBuu+02fP/73+/UwrTGARyR\nf3G181OhD+MATk0cwJE7NP0SwyeffILrr78eEydOxLlz57BkyRJ8++23nVqYv5FtHp55nJMtDyBf\nJtnyuIJ9mGepsg+oktPKrHcAl6iyTVXJ6a52B3AzZ87EDTfcgC+++AKvvPIK+vXrh2nTpnkjGxGR\n29iHEZEvancKNTExEQcOHMDixYsRERGBxx57DEOHDsX+/fu9ldFlnEIl8i+uTD+o0odxClVNnEIl\nd7jzvm/3SgzBwcFYsmQJ3nnnHezatQuNjY347rvvOrUwIiJvYx9GRL6o3SnUjRs34rrrrsO6desQ\nHh6OsrIyzJ071xvZlCfbPDzzOCdbHkC+TLLlcQX7MM9SZR9QJaeVWe8ALlFlm6qS013tDuB69+6N\nKVOmoKqqCh988AG6du3K+hEiUgb7MNJCSEjY1elTGQTCYDAgJCRM7yDkRe3WwP35z3/GCy+8YDtn\nktlsxsKFCzFjxgyvBOwI1sAR+RdX6kdU6cNYA6cW144v3m/jPqQWTc8DN2DAAHz66ae48cYbAQBn\nz57F7bffjiNHjnRqgVriAI7Iv7jS+anSh3EApxYO4MgTND0P3Pe//31069bNdrtbt25SngRTRrLN\nwzOPc7LlAeTLJFseV7AP8yxV9gFVclqZ9Q7gElW2qSo53eXwW6jLli0DAPTv3x8jR47EAw88AADY\nsmULhgwZ4p10RESdxD6MiHyZwynURYsW2Qo0hRBtfn7++ee9l9JFnEIl8i/Oph9U68M4haoWTqGS\nJ2h+LVQAqK2tBWA9p5KsmjZESEgYamvPXW3lAI7IV3Wk85O9D+MATi0cwJEnaFoDd/DgQSQmJmLw\n4MEYPHgwhg0bhq+++qpTC/MW6+BN/51Ytnl45nFOtjyAfJlky+MKFfswmamyD6iS08qsdwCXqLJN\nVcnprnYHcI8//jheeeUVHD9+HMePH8eyZcvw+OOPeyMbEZHb2IcRkS9qdwo1Pj4eX3zxRbttMmj6\nKLLtR9ucQiXyRa5MP6jSh3EKVS2cQiVP0PRaqH369MFvf/tbTJ06FUIIvPvuu+jbt2+nFkZE5G3s\nw4jIF7U7hbpu3Tr85z//weTJk/HQQw/h9OnTWLdunTeyKU+2eXjmcU62PIB8mWTL4wr2YZ6lyj6g\nSk4rs94BXKLKNlUlp7va/QQuLCwMq1at8kYWIiKPYx9GRL7I5dOIqMD9GrggAA0IDu6Bmpoqr2Yn\noo7zpboxX1oXf8AaOPIETU8j4l8aAIhm55AjIiKyCgkJg8FgsJ0UmkhPmg7gpk+fDqPRiLi4OFvb\nokWLYDKZkJiYiMTEROTk5Njuy8rKQlRUFKKjo7F9+3Zbe0FBAeLi4hAVFYXZs2drGdmjZJuHZx7n\nZMsDyJdJtjx6qa6uxsMPP4xBgwYhJiYGe/fuRVVVFVJSUjBgwACMHTsW1dXVtt931LepSJV9QIuc\n184x6ulPucwefj5t+PNrLyOHNXCLFy+22970l8fChQvbffLMzEw8+eSTmDZtWovHP/3003j66adb\n/G5RURE2btyIoqIilJWV4Z577kFxcTEMBgNmzpyJtWvXIikpCRMmTEBubi7uvfdel1aQiPyTJ/ow\nR2bPno0JEybgr3/9KxoaGnDx4kW8+OKLSElJwbx587B06VJkZ2cjOzvbbt925MgRBARwAoSIOs9h\nDdzLL7/c5mPiixcvYu3atThz5gwuXrzo0gJKS0sxadIkHDx4EIC1U+3WrRueeeaZFr+XlZWFgIAA\nzJ8/HwBw7733YtGiRbj11ltx99134+uvvwYAvP/++zCbzfjjH//YdmU8cB441hEQqcNZ/Yin+rDW\nzp8/j8TERBw7dqxFe3R0NHbu3Amj0YhTp04hOTkZ//73vx32bbfddpvL60JyuHZsAWSod+OxS32a\nnAful7/8pe3nmpoarFy5Em+88QYeffTRNoOvjlq1ahXeeustDB8+HMuWLUNoaCjKy8tbdGgmkwll\nZWUICgqCyWSytUdERKCsrMyt5ROR79OqDyspKUHPnj2RmZmJL774AsOGDcOrr76KyspKGI1GAIDR\naERlZSUAOOzbiIjc4fQ0ImfPnsXy5cvx7rvvYtq0adi/fz969Ojh1gJnzpxpm7r4zW9+g2eeeQZr\n16516zmby8jIuPrToqv/m5vd2/xne7dbtjXNoycnJ3fq9quvvoqEhIROP97Tt5lHrTxmsxmFhYWY\nM2cO8zRbflNtWWlpKdqjRR/W0NCA/fv347XXXsOIESMwZ84cZGdnt/id9grdHd2XkZGByMhIAEBo\naKh0+2OT5ORkafJ4+/3cktnBz/ZuN7UlO3msp57PN9//rt5uva/qnaf57aafXem/2iUceOaZZ0Tf\nvn1Fdna2qKmpcfRr7SopKRGxsbHt3peVlSWysrJs940bN07k5+eLiooKER0dbWt/7733xBNPPGH3\n+ZpWB4AA7P3v+n2ekJeX55Hn8RTmcU62PELIl0m2PM7eq57qw1qrqKgQkZGRttu7du0SEyZMENHR\n0aKiokIIIUR5ebkYOHCgEMJx39aap/odrcm2DziiRU7nxxJ32vI89nxa8ufXXivuvGYOa+ACAgLQ\ntWtXBAUFtbnPYDCgpqbGpQFi6xq4iooK9O7dGwCwfPlyfPbZZ3jvvfdQVFSEKVOmYN++fbZC32++\n+QYGgwEjR47EypUrkZSUhPvuuw//7//9P7tfYmANHJF/cVY/4qk+zJ4f/vCH+POf/4wBAwZg0aJF\nuHTpEgDgxhtvxPz585GdnY3q6mrblxgc9W2urgvJQf4aOOu5TAHwfKaK0KQGzmKxdDpQk7S0NOzc\nuRNnzpzBzTffjMWLF9s+hjUYDOjTpw9ef/11AEBMTAxSU1MRExODwMBArF692tbBrV69GhkZGbh8\n+TImTJjAb6ASUbs80Yc5smrVKvzkJz9BfX09+vXrhzfeeAONjY1ITU3F2rVrERkZiU2bNgFw3rcR\neZb1XKYAUFvLfczX8UoMGn4CZzabbfPfMmAe52TLA8iXSbY8vvSplSrrIts+4IgWObX7BM4MYLQH\nn8/a5un9yZ9fe63wSgxEREREfoSfwLEGjkhZqnxq5QpfWhdfJX8NnLafwJHn8RM4IiIiIj/CAZyG\n7J83SD/M45xseQD5MsmWh7xPlX1AlZxWZr0DuESVbapKTndxAEdERESkGNbAsQaOSFm+VDfmS+vi\nq1gDR57GGjgiIiIiP8IBnIZkm4dnHudkywPIl0m2POR9quwDquS0MusdwCWqbFNVcrqLAzgiIiIi\nxbAGjjVwRMrypboxX1oXX8UaOPI01sARERER+REO4DQk2zw88zgnWx5Avkyy5SHvU2UfUCWnlVnv\nAC5RZZuqktNdHMARERERKYY1cKyBI1KWL9WN+dK6+CrWwJGnsQaOiIiIyI9wAKch2ebhmcc52fIA\n8mWSLQ95nyr7gCo5rcx6B3CJKttUlZzu4gDOrkAYDAaEhITpHYSIiIioDdbAtXOfD20eIp/jS3Vj\nvrQuvoo1cORprIEjIiIi8iMcwGlItnl45nFOtjyAfJlky0Pep8o+oEpOK7PeAVyiyjZVJae7OIAj\nIiLyOazl9nWsgWMNHJGyfKluzJfWxVepVgPH45j8WANHRERE5Ec4gNOQbPPwzOOcbHkA+TLJloe8\nT5V9QJWcVma9A7hElW2qSk53cQBHREREpBhNa+CmT5+Ov//97+jVqxcOHjwIAKiqqsKPf/xjfPvt\nt4iMjMSmTZsQGhoKAMjKysK6devQpUsXrFy5EmPHjgUAFBQUICMjA3V1dZgwYQJWrFhhf2VYA0fk\nV/SsG2tsbMTw4cNhMpnwwQcfdKpva441cPIKCQlDbe25q7fkqW1jDZz6pK2By8zMRG5ubou27Oxs\npKSk4MiRIxgzZgyys7MBAEVFRdi4cSOKioqQm5uLWbNm2VZq5syZWLt2LYqLi1FcXNzmOYmIvG3F\nihWIiYm5+gdjx/o2i8WiZ3TqIOvgjYMgkoumA7hRo0ahR48eLdq2bt2K9PR0AEB6ejo2b94MANiy\nZQvS0tIQFBSEyMhI9O/fH3v37kVFRQVqa2uRlJQEAJg2bZrtMbKTbR6eeZyTLQ8gXybZ8ujl5MmT\n2LZtGx577DHbH5od6dv27dunW3Z3qbIPqJLTyqx3AJeosk1Vyekur9fAVVZWwmg0AgCMRiMqKysB\nAOXl5TCZTLbfM5lMKCsra9MeERGBsrIy74YmImrmqaeewksvvYSAgGtdaEf7NiIid+j6JQaDwWCb\nfvBFycnJekdogXmcky0PIF8m2fLo4cMPP0SvXr2QmJjosHalvb5N5X5PlX1AlZxWyXoHcIkq21SV\nnO4K9PYCjUYjTp06hfDwcFRUVKBXr14ArJ+snThxwvZ7J0+ehMlkQkREBE6ePNmiPSIiwuHzZ2Rk\nXP1p0dX/zc3ubf6zvdtt28xms21naPpYlrd5m7f1uV1YWIjq6moAQGlpKfSwZ88ebN26Fdu2bUNd\nXR1qamowderUDvVtjvqwjIwMREZGAgBCQ0ORkJAg1fb359vtHy9a3+/o9/V5Pr23H29bbzf97JH+\nS2ispKRExMbG2m7PnTtXZGdnCyGEyMrKEvPnzxdCCHHo0CERHx8vrly5Io4dOyb69u0rLBaLEEKI\npKQkkZ+fLywWixg/frzIycmxu6ym1QEgAHv/d/w+d+Tl5bn1eE9jHudkyyOEfJlky+OFLswps9ks\nJk6cKIToXN/WnN7r4irZ9gFHPJnTteOFO215mi7DU/zxtdeaO6+Ppp/ApaWlYefOnThz5gxuvvlm\nvPDCC1iwYAFSU1Oxdu1a21ftASAmJgapqamIiYlBYGAgVq9ebZtmWL16NTIyMnD58mVMmDAB9957\nr5axiYhc1tRPdaZvIyLqLF4LleeBI1KWL507zZfWxde0PaYA3j6XG88D55ukPQ8cEREREXkeB3BO\nBdq+TRYSEtbhRzcvWpQB8zgnWx5Avkyy5SHvU2UfUCWnlVnvAC5RZZuqktNdXv8Wqloa0PRxdG0t\na1aIiIhIDqyB68B9PrSpiHyCL9WN+dK6+BrWwJFWWANHREREdrhXCkTy4gBOQ7LNwzOPc7LlAeTL\nJFse8j5V9gFVclqZNXzuplIggdrac249kyrbVJWc7uIAjoiIqJWQkDCfv9wjqY01cKyBI1KWL9WN\n+dK6+IJrxxFAhjo2T7VxH5MLa+CIiIiI/AgHcBqSbR6eeZyTLQ8gXybZ8pD3qbIPqJLTyqx3AJeo\nsk1VyekuDuCIiIiIFMMaONbAESnLl+rGfGldfAFr4MgbWANHRERE5Ec4gNOQbPPwzOOcbHkA+TLJ\nloe8T5V9QJWcVma9A7hElW2qSk53cQBHREREpBjWwLEGjkhZvlQ35kvr4gtYA0fewBo4IiIiIj/C\nAZyGZJuHZx7nZMsDyJdJtjzkfarsA6rktDLrHcAlqmxTVXK6iwM4IiIiIsWwBo41cETK8qW6MV9a\nF1/AGjjyBtbAEREREfkRDuA0JNs8PPM4J1seQL5MsuUh71NlH1Alp5VZ7wAuUWWbqpLTXRzAERER\nESmGNXCsgSNSli/VjfnSuqgsJCQMtbXnrt7Sv2aNNXC+jTVwXhEIg8GAkJAwvYMQEZFGrIM3DnJI\nfj43gLvhhu4aPXMDANHsL7P2yTYPzzzOyZYHkC+TbHnI+1TZB1TJaWXWO4BLVNmmquR0l24DuMjI\nSAwZMgSJiYlISkoCAFRVVSElJQUDBgzA2LFjUV1dbfv9rKwsREVFITo6Gtu3b3f4vF26jNM8OxH5\nrxMnTmD06NEYPHgwYmNjsXLlSgCe6b+ItMWZJF+iWw1cnz59UFBQgLCwazvSvHnz8P3vfx/z5s3D\n0qVLce7cOWRnZ6OoqAhTpkzBZ599hrKyMtxzzz04cuQIAgJajj8NBgO6dZuCCxfegxY1cE1trCEg\nkoMedWOnTp3CqVOnkJCQgAsXLmDYsGHYvHkz3njjDbf7L/Yt+mtbQw3oWbOmVRv3NTkoWwPXOvTW\nrVuRnp4OAEhPT8fmzZsBAFu2bEFaWhqCgoIQGRmJ/v37Y9++fV7PS0QUHh6OhIQEAEC3bt0waNAg\nlJWVsf8iIq/SbQBnMBhwzz33YPjw4VizZg0AoLKyEkajEQBgNBpRWVkJACgvL4fJZLI91mQyoays\nzPuhO0i2eXjmcU62PIB8mWTLo7fS0lIcOHAAI0eO9Ln+yxFV9gFVclqZ9Q7gElW2qSo53RWo14J3\n796N3r174/Tp00hJSUF0dHSL+w0Gw9WPsu1zdh8RkdYuXLiAhx56CCtWrEBwcHCL+9h/EZHWdBvA\n9e7dGwDQs2dPPPjgg9i3bx+MRiNOnTqF8PBwVFRUoFevXgCAiIgInDhxwvbYkydPIiIiwu7zXr78\n6dWfFl3939zs3uY/27vt6HeS7d7XNMpPTk62e7upzdH93r7NPGrlaf1XJPOYUVhYaPtyQGlpKfTy\n3Xff4aGHHsLUqVPxwAMPAIBH+q+MjAxERkYCAEJDQ5GQkKD7663q7aa2zu7fV58Bjvr/tm2t7+/I\n89lrc+f57D2m5f0qvv9dvZ2cnCxVnua3m372RP+ly5cYLl26hMbGRgQHB+PixYsYO3Ysnn/+eezY\nsQM33ngj5s+fj+zsbFRXV7coAt63b5+tCPibb75p81csv8RA5F/0KPwXQiA9PR033ngjli9fbmuf\nN2+e2/0X+xb98UsM5E3KfYmhsrISo0aNQkJCAkaOHImJEydi7NixWLBgAT766CMMGDAA//rXv7Bg\nwQIAQExMDFJTUxETE4Px48dj9erVSkxB2P+LTj/M45xseQD5MsmWRw+7d+/GO++8g7y8PCQmJiIx\nMRG5ubk+1385oso+oEpOK7OXlxdom+bvyClFVNmmquR0ly5TqH369EFhYWGb9rCwMOzYscPuY557\n7jk899xzWkcjInLqzjvvhMVisXsf+y9Sg/XE9ABQW6vuHxP+zueuhar9FGoQgAYEB/dATU2V5utE\nRI750rSjL62LyvxlCpXXR5WDO+973b7EoK6mS2rxrxYiIiLSh89dC1Umss3DM49zsuUB5MskWx7y\nPlX2AVVyWpn1DuASVbapKjndxQEcERERkWJYA+fGfT606YiU5Et1Y760LqoJCQlDbe25Zi3y1Kex\nBs63KXcaESIiIllYB28C1wY1RPLjAE5Dss3DM49zsuUB5MskWx7yPlX2AVVyWpn1DuASVbapKjnd\nxQEcERERkWJYA8caOCJl+VLdmC+ti2qunfsNkK0+Tfs2nttUTzwPHBEREXUCz22qKk6haki2eXjm\ncU62PIB8mWTLQ96nyj6gSk4rs94BXKLKNlUlp7s4gOu0zl0MmIiIiMhdrIHz0H0+tBmJlOFLdWO+\ntC6q8e8aONZ164nngSMiIuqgkJCwq4M3IvVwAKch2ebhmcc52fIA8mWSLQ95nyr7gCs5r53AV29m\nvQO4xJdee1/AARwREZHfY123algDxxo4ImX5Ut2YL62LKq7VvslViyZDG/dF72ANHBEREZEf4QBO\nQ7LNwzOPc7LlAeTLJFse8j5V9gFVclqZ9Q7gElW2qSo53cUBnEcEsm6AiIiIvIY1cB6+z4c2J5H0\nfKluzJfWRWYhIWFXv33aRJ66M5nauC96B2vgpMFP4oiIZHbt1CEcoDjGY5kKOIDzqKaLAlv/upNt\nHp55nJMtDyBfJtnykPepsg+0zin3SXvNegdopeWxrImqr72vCtQ7ABERkdauffIm6yBObs2nnoOD\ne6CmpkrnRMQaOE3uC4L1Lxju6ERa8qW6MV9aFxnxnG+da2vaJ1tfL5b7qmewBk461o+f7X0ETURE\n3tE0bSrv1KnsArn9JKbUAC43NxfR0dGIiorC0qVL9Y7jAjNkKgaVrS6AedonWybZ8qhEvf7LPlX2\nAbPZrNAXFsx6B3Dg2ocRVmb9onSAKvuou5QZwDU2NuIXv/gFcnNzUVRUhA0bNuDrr7/WO1Y7CuGo\nGFQPhYWFekdogXnaJ1sm2fKoQs3+yz4V9oGQkDCMHj1a7xgdIP82tVIjpwr7qCcoM4Dbt28f+vfv\nj8jISAQFBeHRRx/Fli1b9I7Vjmq9A7RQXc08zsiWB5Avk2x5VKFm/2WfCvuA9Q/m5/WO0QHyb1Or\njuVsmsL29gyUCvuoJygzgCsrK8PNN99su20ymVBWVqZjoo5qqiXoaqspuPZzV8128o6+gfR6wxH5\nMlf7r/r6euTn5+PTTz/FZ599BovF4s2Yumhep2av32nvfnu/R97RfJu3Pp4ZDAbbFHZtbW2b19De\nY5u/vvaORdce0/Y42tFjnKMsztpko8wAztU3ZUODWdsgHVLa7OemWoLvcK2m4LsW/zffydu+GRzv\n4PbeOE0/N38DLV682Olz23/DOR5wunaf499ZvPgFlwazrd/IWr2xSktL2/0db5Mtk2x5VOFq/7V9\n+3bcfvvt+MEPfoCkpCSX/6By9nvtHZw6egBsvg84O6A2b3OWq3mdmr0+0P79jvu6a/VapW2WKa9S\nvQO4qPTq/4F2tvl3aHuMa9L8i321Dh/b/PW3N/i79pi2x9Hmv3ft2OJ8P7GXxVlbe/t5R9vcPn4J\nRXz66adi3LhxtttLliwR2dnZLX6nX79+Ta8o//Ef//nBv379+nm7K+oU9l/8x3/8Z++fO32YMueB\na2howMCBA/HPf/4TN910E5KSkrBhwwYMGjRI72hERE6x/yIiT1PmSgyBgYF47bXXMG7cODQ2NmLG\njBns/IhICey/iMjTlPkEjoiIiIislPkSgzN6nCBz+vTpMBqNiIuLs7VVVVUhJSUFAwYMwNixY1t8\nlTkrKwtRUVGIjo7G9u3bPZ7nxIkTGD16NAYPHozY2FisXLlS10x1dXUYOXIkEhISEBMTg2effVbX\nPE0aGxuRmJiISZMmSZEnMjISQ4YMQWJiIpKSknTPVF1djYcffhiDBg1CTEwM9u7dq1uew4cPIzEx\n0fave/fuWLlype6vmbt+85vfID4+HgkJCRgzZgxOnDhhu89R/oKCAsTFxSEqKgqzZ8/2Ss65c+di\n0KBBiI+Px+TJk3H+/HkpcwLAX/7yFwwePBhdunTB/v37W9wnW9bmZDq5s2zHNEdkO9Y5o/lxsNPV\nc5JoaGgQ/fr1EyUlJaK+vl7Ex8eLoqIizZf78ccfi/3794vY2Fhb29y5c8XSpUuFEEJkZ2eL+fPn\nCyGEOHTokIiPjxf19fWipKRE9OvXTzQ2Nno0T0VFhThw4IAQQoja2loxYMAAUVRUpGumixcvCiGE\n+O6778TIkSPFrl27dM0jhBDLli0TU6ZMEZMmTRJC6PuaCSFEZGSkOHv2bIs2PTNNmzZNrF27Vghh\nfd2qq6t130ZCCNHY2CjCw8PF8ePHpcjjjpqaGtvPK1euFDNmzBBC2M9vsViEEEKMGDFC7N27Vwgh\nxPjx40VOTo7mObdv327bfvPnz3e6nfXMKYQQX3/9tTh8+LBITk4WBQUFtnYZszbR69jliGzHNEdk\nPNY5o+VxUPkB3J49e1p8uysrK0tkZWV5ZdklJSUtdvaBAweKU6dOCSGsO9nAgQOFEG2/cTZu3Djx\n6aefaprtRz/6kfjoo4+kyHTx4kUxfPhw8dVXX+ma58SJE2LMmDHiX//6l5g4caIQQv/XLDIyUpw5\nc6ZFm16ZqqurRZ8+fdq0672NhBDiH//4h7jzzjulyeMpS5YssXXejvKXl5eL6OhoW/uGDRvEE088\n4dWc//d//yd+8pOfSJ+z9QBO5qx6HrsckfmY5ohMxzpntDgOKj+FKtMJfisrK2E0GgEARqMRlZWV\nAIDy8nKYTCavZSwtLcWBAwcwcuRIXTNZLBYkJCTAaDTaPvLWM89TTz2Fl156CQEB13Z7vV8zg8GA\ne+65B8OHD8eaNWt0zVRSUoKePXsiMzMTQ4cOxc9+9jNcvHhR920EAO+//z7S0tIA6P+aecKvfvUr\n3HLLLVi/fr1tWsVR/tbtERERXl+vdevWYcKECdLnbE3mrDIduxyR/b0my7HOGS2Pg8oP4GQ963Z7\nZ4VRd24AAA+2SURBVATXKveFCxfw0EMPYcWKFQgODtY1U0BAAAoLC3Hy5El8/PHHyMvL0y3Phx9+\niF69eiExMRHCwfd29HjNdu/ejQMHDiAnJwe///3vsWvXLt0yNTQ0YP/+/Zg1axb279+P733ve8jO\nztYtT5P6+np88MEHeOSRR+wuT4/3WXtSUlIQFxfX5t8HH3wAAHjxxRdx/PhxZGZmYs6cObpkdCVn\nU9auXbtiypQpuuUEXMuqElmPXY7I9l6T6VjnjJbHQWVOI+JIREREiyLgEydOtBjBepPRaMSpU6cQ\nHh6OiooK9OrVy27GkydPIiIiwuPL/+677/DQQw9h6tSpeOCBB6TIBADdu3fHfffdh4KCAt3y7Nmz\nB1u3bsW2bdtQV1eHmpoaTJ06Vfft07t3bwBAz5498eCDD2Lfvn26ZTKZTDCZTBgxYgQA4OGHH0ZW\nVhbCw8N13UY5OTkYNmwYevbsCUCOfbo9H330kUu/N2XKFNsnW/bym0wmRERE4OTJky3aPbVe7eVc\nv349tm3bhn/+85+2Nj1yupLVHr2ydiabnscuR2R9r8l6rHNGk+OgppO+XvDdd9+Jvn37ipKSEnHl\nyhWvFoK2rheYO3eubf46KyurTWHilStXxLFjx0Tfvn1thbSeYrFYxNSpU8WcOXNatOuV6fTp0+Lc\nuXNCCCEuXbokRo0aJXbs2KHrNmpiNpttNXB65rl48aKtoP3ChQviBz/4gfjHP/6ha6ZRo0aJw4cP\nCyGEeP7558XcuXN1f81+/OMfi/Xr19tu653HXUeOHLH9vHLlSvHTn/5UCOE8f1JSksjPzxcWi8Vr\nBfc5OTkiJiZGnD59ukW7bDmbS05OFp9//rkSWfU8djki0zHNEdmOdc5ofRxUfgAnhBDbtm0TAwYM\nEP369RNLlizxyjIfffRR0bt3bxEUFCRMJpNYt26dOHv2rBgzZoyIiooSKSkpthdOCCFefPFF0a9f\nPzFw4ECRm5vr8Ty7du0SBoNBxMfHi4SEBJGQkCBycnJ0y/Tll1+KxMREER8fL+Li4sTvfvc7IYTQ\ndRs1MZvNtm+h6pnn2LFjIj4+XsTHx4vBgwfb9l09MxUWForhw4eLIUOGiAcffFBUV1frmufChQvi\nxhtvbPHNTRn2IXc89NBDIjY2VsTHx4vJkyeLyspK232O8n/++eciNjZW9OvXTzz55JNeydm/f39x\nyy232PqTmTNnSplTCOuXLEwmk7j++uuF0WgU9957r7RZm9Pj2OWIbMc0R2Q71jmj9XGQJ/IlIiIi\nUozyX2IgIiIi8jccwBEREREphgM4IiIiIsVwAEdERESkGA7giIiIiBTDARwRERGRYjiA81NdunRB\nYmIiYmNjkZCQgFdeecV2iamCggLMnj3b4WO//fZbbNiwwVtRWzh//jz+8Ic/eHWZpaWliIuL69Bj\nrly5grvuusvhZbvsWblyJd5+++2OxiPyCwEBAfjlL39pu/3yyy9j8eLFXs2QnJyMgoICry6z+bL3\n798PALjvvvtQU1PTqefZsmULvv766w4/7sMPP8SiRYs69JgxY8agtra2w8si13AA56duuOEGHDhw\nAF999RU++ugj5OTk2DrDYcOGYcWKFQ4fW1JSgvfee89bUVs4d+4cVq9ercuyO+Ldd9/FxIkTO3TN\nvczMTKxatUrDVETq6tq1K/72t7/h7NmzADp+PcvGxka3M7R33UpPaWhosLvsJn//+98REhLSqef+\n29/+hqKiog4/btmyZZg5c2aHHvPoo49izZo1HV4WuYYDOELPnj3xpz/9Ca+99hoAwGw2Y9KkSQCA\nnTt3IjExEYmJiRg2bBguXLiABQsWYNeuXUhMTMSKFSvw7bff4oc//CGGDRuGYcOG4dNPP7U9T3Jy\nMh555BEMGjQIP/3pT23L/Oyzz3DHHXcgISEBI0eOxMWLF9HY2Ii5c+ciKSkJ8fHx+NOf/tQm64IF\nC3D06FEkJiZi/vz5AIC5c+ciLi4OQ4YMwaZNm9o8prS0FIMGDcLjjz+O2NhYjBs3DnV1dQCAwsJC\n3HbbbYiPj8fkyZNRXV0NwPopZHx8PBISEloMGF3JCAAbNmzAj370I9t2uOuuu/DAAw+gX79+WLBg\nAd5++20kJSVhyJAhOHbsGAAgODgYN954Iw4dOtSBV4/IPwQFBeHxxx/H8uXL29xXWlqKu+++G/Hx\n8bjnnnts15PMyMjAz3/+c9x2222YN28eMjMzMXPmTNx+++3o168fzGYz0tPTERMTg8zMTNvzzZo1\nCyNGjEBsbKxLnzrZ68/q6uqQmZmJIUOGYOjQoTCbzQDgsH39+vW4//77MWbMGKSkpKCurg6PPvoo\nYmJiMHnyZFy+fNm2vMjISFRVVTnt29asWYOkpCQkJCTg4YcfxuXLl7Fnzx588MEHmDt3LhITE1FS\nUoKjR49i/PjxGD58OH74wx/i8OHDbdbvxIkTqK+vh9FotG3XWbNmtbsd77//frz//vvtbj/qJM2u\nIUFS69atW5u20NBQ8Z///Efk5eXZrhU6adIksWfPHiGE9dqdDQ0NLa4lKoT1Gm91dXVCCOt1HocP\nHy6EECIvL090795dlJWVCYvFIm6//Xaxe/duceXKFdG3b1/bNQtra2tFQ0ODeP3118X//M//CCGE\nqKurE8OHDxclJSUtMpaWlra4Vt9f//pXkZKSIiwWi6isrBS33HKLqKioaPGYkpISERgYKL744gsh\nhBCpqaninXfeEUIIERcXJz7++GMhhBALFy60XV8vLi5O7Nq1SwhhvcZe0zJdydjQ0CDCw8Ntt/Py\n8kRoaKg4deqUuHLlirjpppvE888/L4QQYsWKFS2u6bdw4UKxevXqNq8Nkb/r1q2bqKmpEZGRkeL8\n+fPi5ZdfFosWLRJCCDFx4kTx1ltvCSGEWLdunXjggQeEEEKkp6eLSZMm2a4nmZGRIdLS0oQQQmzZ\nskUEBweLr776SlgsFjFs2DBRWFgohBCiqqpKCGF9LycnJ4svv/xSCGG91mpBQUGLXI76s5dfflnM\nmDFDCCHEv//9b3HLLbeIuro6h+1vvPGGMJlMtssqLVu2zPZ7X375pQgMDLQtOzIyUpw9e9Zp33b2\n7Flbxl//+tdi1apVtm3wv//7v7b77r77blFcXCyEECI/P1/cfffdbbb9hg0bxC9+8QvbbVe3oxBC\n9OnTR1y4cMHOK0ru4idw5NQdd9yBp556CqtWrcK5c+fQpUuXNnVd9fX1eOyxxzBkyBCkpqa2qK9I\nSkrCTTfdBIPBgISEBJSUlODw4cPo3bs3hg0bBgDo1q0bunTpgu3bt+Ott95CYmIibrvtNlRVVeGb\nb75psazWy969ezemTJkCg8GAXr164a677sJnn33WZj369OmDIUOGALBOEZeWlqKmpgbnz5/HqFGj\nAADp6en4+OOPcf78eZw/fx533nknAGDq1Km253El45kzZxAcHNyibcSIETAajejatSv69++PcePG\nAQBiY2NRWlpq+72bbrqpxW0iuiY4OBjTpk3DypUrW7Tn5+djypQpAICf/vSn+OSTTwBYpx0feeSR\nFtOPTbMLsbGxCA8Px+DBg2EwGDB48GDbe2/jxo0YNmwYhg4dikOHDjmtGXPUn+3evds26zBw4EDc\neuutOHLkiMN2g8GAlJQUhIaGAgB27dpl+72mGQZ77PVtAHDw4EGMGjUKQ4YMwbvvvtti2rSpH71w\n4QI+/fRTPPLII0hMTMTPf/5znDp1qs0yjh8/jt69e7doc2U7AoDRaLR9IkqeFah3AJLDsWPH0KVL\nF/Ts2bNF+/z58zFx4kT8/e9/xx133IF//OMfbR67fPly9O7dG2+//TYaGxtx/fXX2+677rrrbD93\n6dIFDQ0NTmtIXnvtNaSkpHQoe+tBnb3nb52jaZrB2fM4anclY+vHNF9+QECA7XZAQECLehchhFdq\nbIhUNWfOHAwdOrTFVB3g+P17ww03tLjdtWtXAC3fh023GxsbUVJSgmXLluHzzz9H9+7dkZmZabe/\ncIWrfUqT733vey79XnOO+raMjAxs3boVcXFxePPNN21TtcC1PtJisSA0NBQHDhxodzmtszjbjuzT\nvIOfwBFOnz6Nn//853jyySfb3Hf06FEMHjwY8+bNw4gRI3D48GGEhIS0+GZRTU0NwsPDAQBvvfWW\n02Jhg8GAgQMHoqKiAp9//jkAoLa2Fo2NjRg37v+3czevsIVxHMC/x8xYYA5jmCwIWRgaw0imTDPJ\nyMVWiY0aUWbKAn8CG7FhykJpDM5iako2bJQoiaVszEo2nOy8zJRTzl3cnMwL5ure7p18P7vz8pzn\nOaeep995zvM7P7CysqJ1/lgshng8nlTeaDQm1e12uxGJRPDy8oK7uzscHR2hvb3903tWVRWiKMJk\nMmlv65ubm+js7ERxcTFKSkpwfHwM4FdCwqts2lhWVobHx8dP25DJzc0NampqvlSW6DswmUwYHBzE\n2tqaFhh0dHRoa60kSYLH4/nStVVVxcPDAwoLCyGKImRZxt7e3odl3hvP3G63NnbEYjFcX1/DarW+\nuz81QPJ4PFqy2MXFBc7Pz7Nq/9vZtYqKCiiKgq2tLe1ZGY1GLYNVFEXU1tYiGo1q5TPVU11dnXFm\nLhuyLKOysvJLZeljnIH7phKJBBwOBxRFgV6vx8jICKanpwEkZ1otLS3h4OAAeXl5sNls6OvrgyAI\n0Ol0aGlpgc/nQyAQwMDAADY2NtDb24uioiKtnkxvXgaDAZFIBJOTk0gkEigoKMD+/j7GxsZwdXWF\n1tZWqKoKi8WC7e3tpLJmsxkulwtNTU3o7+/H/Pw8Tk5O0NzcDEEQsLCwAIvFklZnajtet8PhMCYm\nJhCPx1FXV4dQKAQACIVCGB0dhSAI6Onp0c7Ppo06nQ42mw2Xl5eor6//MHMt9djZ2RkWFxcznkv0\nnb3tJzMzM1rSFQAEg0H4fD6t/7/249RyqduZjtntdjgcDlitVlRVVWlLKd6Tn5+fcTwLBALw+/2w\n2+3Q6/UIh8MwGAzv7k8dC/x+P3w+HxobG9HQ0IC2trZPn8vba8zOzsLpdKK8vBxOp1N7qRwaGsL4\n+DiCwSCi0SgkSYLf78fc3BwURcHw8HDa51qXy5X22fqz5wgAt7e3MJvNaTOL9GcIajZztET0W9bX\n1yHLspYpm437+3t4vd6Ma/iIiP6lrq4uSJKUthbuI6urq3h6esLU1NRfbNn3xQCO6C94fn5Gd3c3\nDg8Ps17/sby8jNLS0qTfrRAR/Q92d3dxenr6Wz9P9nq92NnZSfoqQ38OAzgiIiKiHMMkBiIiIqIc\nwwCOiIiIKMcwgCMiIiLKMQzgiIiIiHIMAzgiIiKiHMMAjoiIiCjH/ASm9HUi1hDRngAAAABJRU5E\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c96a890>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "**Caption**: Much nicer! The points are close to the new river centerline."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In the next step, associate the estimated widths with the new centerline. Notice that this can only be done approximately, since there is no unique one to one mapping."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# These are the old centerline coordinates\n",
      "\n",
      "xw = reaches[0].x\n",
      "yw = reaches[0].y\n",
      "\n",
      "# This step makes the association\n",
      "\n",
      "river_obs.add_centerline_obs(xw,yw,max_width,'max_width')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now get the centerline coordinates that could be associated with a max_width and the associated max_width and plot the results."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xi, yi, wi = river_obs.get_centerline_xyv('max_width')\n",
      "\n",
      "figsize(8,8)\n",
      "plot(l2.x/1.e3,l2.y/1.e3,'k,',alpha=0.1)\n",
      "scatter(xi/1.e3,yi/1.e3,\n",
      "        c=wi,\n",
      "        edgecolor='none',alpha=0.2,\n",
      "        vmin=0,vmax=300)\n",
      "xlim(-5,5 )\n",
      "ylim(-10,10);\n",
      "colorbar(label='Width');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AgomSTwtR3c2Eh4Ux6b5fsvb1PKLDgsyf+xhm1UyYBiPNKgGCHAdUDMQBBvz4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\nFicMmpxFXIYRWfGQEa8gl36MXlKJZ7eCX/Fm4G5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AehtCUBHutRoEQThJdLii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\nIj1AgSsiItIDFLgiIiI94P8Bv3aWN9dPIWUAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c867b10>"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "**Caption**: Not too bad, but notice the widths do not always match the data distribution."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Compute the center line and associate observations with it\n",
      "\n",
      "In the following step, the new centerline and max_width vector are used to exclude the bad data."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "river_obs.reinitialize()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "636 636 636\n",
        "Centerline initialized\n",
        "Local coordiantes calculated"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print 'max_width length:',len(river_obs.max_width)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "max_width length: 897\n"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Plot the maximum width along the channel:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "len(river_obs.max_width) == len(river_obs.centerline.x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 18,
       "text": [
        "True"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(5,5)\n",
      "scatter(river_obs.centerline.x/1.e3,river_obs.centerline.y/1.e3,\n",
      "        c=river_obs.max_width,\n",
      "        edgecolor='none',alpha=0.1,\n",
      "        vmin=0,vmax=300)\n",
      "colorbar(label='Width');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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54Ac/yI9+9CN2797Nk08+ecFlRQGfqhHyCtVv9+zZQzQa5XOf+9z4jqc5GLei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\nTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c860b50>"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In the following step, the height and true heights are associated with the nodes:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "river_obs.add_obs('htrue',htrue)\n",
      "river_obs.add_obs('h',h)\n",
      "river_obs.load_nodes(['h','htrue'])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 20
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Get some rough statistics of the differences in heights for the data associated with each node:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "hn_mean = N.array(river_obs.get_node_stat('mean','h'))\n",
      "hn_median = N.array(river_obs.get_node_stat('median','h'))\n",
      "hstdn = N.array(river_obs.get_node_stat('stderr','h'))\n",
      "htn = N.array(river_obs.get_node_stat('mean','htrue'))\n",
      "sn = N.array(river_obs.get_node_stat('mean','s'))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 21
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ave = N.mean(hn_mean - htn)*100\n",
      "err = N.std(hn_mean - htn)*100\n",
      "print 'Mean statitics:   average: %.1f cm std: %.1f cm'%(ave,err)\n",
      "\n",
      "ave = N.mean(hn_median - htn)*100\n",
      "err = N.std(hn_median - htn)*100\n",
      "print 'Median statitics: average: %.1f cm std: %.1f cm'%(ave,err)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Mean statitics:   average: 6.0 cm std: 69.2 cm\n",
        "Median statitics: average: 9.0 cm std: 72.0 cm\n"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Plot the distances from the points to the nodes, and the cross-river normal coordinate:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(10,5)\n",
      "subplot(1,2,1)\n",
      "hist(river_obs.d,bins=100,log=False)\n",
      "xlabel('Distance to node (m)')\n",
      "ylabel('N observations')\n",
      "grid();\n",
      "subplot(1,2,2)\n",
      "hist(river_obs.n,bins=100,log=False)\n",
      "xlabel('Normal coordinate (m)')\n",
      "ylabel('N observations')\n",
      "grid();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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YWA80NNS6XT4ivfPVUKMM7RqHTZUxzrBp63cBh1H1Q5V7m97IarVi8+bN2LJl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\n+mkdglvcb79OAwC+//7iD0tb3rvO39e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LL7+Mzz77DLfddhvmzp3rtL1wh7ttis2tt97q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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c877990>"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Plot the river geometry, number of observations per node, height vs true height, and a plot of height vs the reach distance downriver."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(10,10)\n",
      "subplot(2,2,1)\n",
      "idx = river_obs.populated_nodes\n",
      "plot(river_obs.centerline.x[idx]/1.e3,river_obs.centerline.y[idx]/1.e3,\n",
      "     '.',alpha=0.5)\n",
      "xlabel('x (km)')\n",
      "ylabel('y (km)')\n",
      "subplot(2,2,2)\n",
      "idx = river_obs.populated_nodes\n",
      "plot(river_obs.centerline.s[idx]/1.e3,river_obs.nobs[idx],'o',alpha=0.5)\n",
      "grid()\n",
      "xlabel('Reach (km)')\n",
      "ylabel('Number of observations')\n",
      "subplot(2,2,3)\n",
      "plot(htrue,h,'.',alpha=0.01)\n",
      "plot([-10,60],[-10,60],'--k',alpha=0.5)\n",
      "xlim(-10,60)\n",
      "ylim(-10,60)\n",
      "grid()\n",
      "xlabel('h true (m)')\n",
      "ylabel('h measured (m)')\n",
      "subplot(2,2,4)\n",
      "plot(river_obs.s/1.e3,river_obs.htrue,'.',alpha=0.1)\n",
      "plot(river_obs.s/1.e3,river_obs.h,'.',alpha=0.05)\n",
      "grid()\n",
      "xlabel('Reach (km)')\n",
      "ylabel('Height (m)');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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OQP/+/UlLS7M8f++99xg4cKAdNeo+nL3HlCP2QWvPOKecHD0pKcVUVYVRXR1K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UuYMaMdu/1/UatNqNUeli4VmDUrg7a2yGMmJGSwdKlxRD2qYL5RdfUWNJp4BKELSWrE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M4A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NUEb5sIbW9tXknYriZ524sDV5KsF4Orx6jwHDk7ceIEb3rTqR2ieOWv2/+n2x1U/qNwJ3X1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\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DABYsWIBNmzZhwYIFWL16NX7729+m9OkBQsjkRDmMEDLRUnInAUIIIYSQyYyrVZwj4bE5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\nFWiEEEIIIZz5f7UkODgfkTxvAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11f8d0ed0>"
       ]
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Plot the true river height averaged over each node, and the measured height, similarly averaged for mean and median averaging. The gray lines are 2 standard errors away from the truth."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(10,5)\n",
      "subplot(1,2,1)\n",
      "plot(sn/1.e3,htn,'.',alpha=0.1)\n",
      "plot(sn/1.e3,hn_mean,'.',alpha=0.2)\n",
      "plot(sn/1.e3,htn+2*hstdn,'-k',alpha=0.1)\n",
      "plot(sn/1.e3,htn-2*hstdn,'-k',alpha=0.1)\n",
      "xlabel('Reach (km)')\n",
      "ylabel('Height (m)')\n",
      "title('Mean')\n",
      "\n",
      "subplot(1,2,2)\n",
      "plot(sn/1.e3,htn,'.',alpha=0.1)\n",
      "plot(sn/1.e3,hn_median,'.',alpha=0.2)\n",
      "plot(sn/1.e3,htn+2*hstdn,'-k',alpha=0.1)\n",
      "plot(sn/1.e3,htn-2*hstdn,'-k',alpha=0.1)\n",
      "xlabel('Reach (km)')\n",
      "title('Median')\n",
      "ylabel('Height (m)');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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LxVYs5q81m25zt+G1eXnsgSjqi7sYirxOU6STlPNNnKqPWCnMy4eLjM6F+eB9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\nhImIiIj4QE2YiIiIiA/+BjLlSqvIkZn/AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11ee95650>"
       ]
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "#Final step: fit the truth and measurements over the sub-reaches\n",
      "\n",
      "The fitting algorithm right now implements three different fitting methods, as described in [StatsModels](http://statsmodels.sourceforge.net):\n",
      "\n",
      "* Ordinary Least Squares (OLS)\n",
      "* Weighted Least Squares (WLS)\n",
      "* Robust Linear Models (RLM)\n",
      "\n",
      "The software will eventually incorporate better outlier rejection at the node level. Right now it has tail trimming, but this is not examined in this example.\n",
      "\n",
      "\n",
      "In the first step, initialize the fitting object with the observations:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fit = FitRiver(river_obs)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 26
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## An example\n",
      "\n",
      "Take the reach between 7km and 17km and fit the measured height and the true height using ordinary unweighted least squares:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "smin = 7.e3\n",
      "smax = 17.e3\n",
      "\n",
      "h_ols_results = fit.fit_linear(smin,smax,'h',fit='OLS')\n",
      "yfit_ols = N.dot(fit.X,h_ols_results.params)\n",
      "h = fit.y\n",
      "\n",
      "htrue_ols_results = fit.fit_linear(smin,smax,'htrue',fit='OLS')\n",
      "htrue = fit.y\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 27
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Get the errors in slope and height, convert to suitable units (cm and cm/km) and print:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "herror = (h_ols_results.params[1] - htrue_ols_results.params[1])*100\n",
      "slp_error = (h_ols_results.params[0] - htrue_ols_results.params[0])*1.e5\n",
      "print('Height error: %.1f cm'%herror)\n",
      "print(r'Slope error:  %.1f cm/km'%slp_error)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Height error: -0.6 cm\n",
        "Slope error:  2.4 cm/km\n"
       ]
      }
     ],
     "prompt_number": 28
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Repeat with weighted least squares:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "h_wls_results = fit.fit_linear(smin,smax,'h',fit='WLS')\n",
      "yfit_wls = N.dot(fit.X,h_wls_results.params)\n",
      "\n",
      "htrue_wls_results = fit.fit_linear(smin,smax,'htrue',fit='WLS')\n",
      "\n",
      "herror = (h_wls_results.params[1] - htrue_wls_results.params[1])*100\n",
      "slp_error = (h_wls_results.params[0] - htrue_wls_results.params[0])*1.e5\n",
      "print('Height error: %.1f cm'%herror)\n",
      "print(r'Slope error:  %.1f cm/km'%slp_error)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Height error: -3.1 cm\n",
        "Slope error:  1.5 cm/km\n"
       ]
      }
     ],
     "prompt_number": 29
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Repeat with robust fitting:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "h_rlm_results = fit.fit_linear(smin,smax,'h',fit='RLM')\n",
      "yfit_rlm = N.dot(fit.X,h_rlm_results.params)\n",
      "\n",
      "htrue_rlm_results = fit.fit_linear(smin,smax,'htrue',fit='RLM')\n",
      "herror = (h_rlm_results.params[1] - htrue_rlm_results.params[1])*100\n",
      "slp_error = (h_rlm_results.params[0] - htrue_rlm_results.params[0])*1.e5\n",
      "print('Height error: %.1f cm'%herror)\n",
      "print(r'Slope error:  %.1f cm/km'%slp_error)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Height error: -1.7 cm\n",
        "Slope error:  1.8 cm/km\n"
       ]
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here is a plot of the three solutions:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(6,6)\n",
      "plot(fit.s/1.e3,htrue,'-',alpha=0.7,linewidth=2,label='Truth')\n",
      "plot(fit.s/1.e3,h,'o',alpha=0.2)\n",
      "plot(fit.s/1.e3,yfit_ols,'-',linewidth=2,label='OLS')\n",
      "plot(fit.s/1.e3,yfit_wls,'-',linewidth=2,label='WLS')\n",
      "plot(fit.s/1.e3,yfit_rlm,'-',linewidth=2,label='RLM')\n",
      "xlabel('Reach (km)')\n",
      "ylabel('Height (m)')\n",
      "grid()\n",
      "legend(loc='best');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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eGs3Fq+KRybpWBI89BocOmcsbXHstXHYZKBT97t6g6VG+fjDYQdxRUUD2ks8V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\nQgjhpP4/RpQU/RdwHnEAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c97ebd0>"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "##Fitting multiple reaches\n",
      "\n",
      "Now do a more systematic study: start at 30 km reach, and fit successive 10km reaches, displacing each reach by 2.5km. Gather the results and get some statistics. "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "herror_ols = []\n",
      "herror_wls = []\n",
      "herror_rlm = []\n",
      "slp_error_ols = []\n",
      "slp_error_wls = []\n",
      "slp_error_rlm = []\n",
      "\n",
      "smin = 7.e3\n",
      "delta_s = 10.e3\n",
      "smax = smin + delta_s\n",
      "step = 2.5e3\n",
      "sstop = 45.e3\n",
      "\n",
      "while smax <= sstop:\n",
      "    \n",
      "    h_ols_results = fit.fit_linear(smin,smax,'h',fit='OLS')\n",
      "    htrue_ols_results = fit.fit_linear(smin,smax,'htrue',fit='OLS')\n",
      "    herror = (h_ols_results.params[1] - htrue_ols_results.params[1])*100\n",
      "    slp_error = (h_ols_results.params[0] - htrue_ols_results.params[0])*1.e5\n",
      "    herror_ols.append(herror)\n",
      "    slp_error_ols.append(slp_error)\n",
      "    \n",
      "\n",
      "    h_wls_results = fit.fit_linear(smin,smax,'h',fit='WLS')\n",
      "    htrue_wls_results = fit.fit_linear(smin,smax,'htrue',fit='WLS')\n",
      "    herror = (h_wls_results.params[1] - htrue_wls_results.params[1])*100\n",
      "    slp_error = (h_wls_results.params[0] - htrue_wls_results.params[0])*1.e5\n",
      "    herror_wls.append(herror)\n",
      "    slp_error_wls.append(slp_error)\n",
      "    \n",
      "    h_rlm_results = fit.fit_linear(smin,smax,'h',fit='RLM')\n",
      "    htrue_rlm_results = fit.fit_linear(smin,smax,'htrue',fit='RLM')\n",
      "    herror = (h_rlm_results.params[1] - htrue_rlm_results.params[1])*100\n",
      "    slp_error = (h_rlm_results.params[0] - htrue_rlm_results.params[0])*1.e5\n",
      "    herror_rlm.append(herror)\n",
      "    slp_error_rlm.append(slp_error)\n",
      "    \n",
      "    smin += step\n",
      "    smax += step\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 32
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "**Results for Ordinary Least Squares:**"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print('Number of sub-reaches: %d\\n'%len(herror_ols))\n",
      "herror_ave = N.mean(herror_ols)\n",
      "herror_std = N.std(herror_ols)\n",
      "print('Mean height error: %.1f cm'%herror_ave)\n",
      "print(' STD height error: %.1f cm'%herror_std)\n",
      "\n",
      "slp_error_ave = N.mean(slp_error_ols)\n",
      "slp_error_std = N.std(slp_error_ols)\n",
      "print(' Mean slope error: %.1f cm/km'%slp_error_ave)\n",
      "print('  STD slope error: %.1f cm/km'%slp_error_std)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Number of sub-reaches: 12\n",
        "\n",
        "Mean height error: 6.0 cm\n",
        " STD height error: 3.8 cm\n",
        " Mean slope error: 0.5 cm/km\n",
        "  STD slope error: 1.7 cm/km\n"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "**Results for Weighted Least Squares:**"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print('Number of sub-reaches: %d\\n'%len(herror_ols))\n",
      "herror_ave = N.mean(herror_wls)\n",
      "herror_std = N.std(herror_wls)\n",
      "print('Mean height error: %.1f cm'%herror_ave)\n",
      "print(' STD height error: %.1f cm'%herror_std)\n",
      "\n",
      "slp_error_ave = N.mean(slp_error_wls)\n",
      "slp_error_std = N.std(slp_error_wls)\n",
      "print(' Mean slope error: %.1f cm/km'%slp_error_ave)\n",
      "print('  STD slope error: %.1f cm/km'%slp_error_std)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Number of sub-reaches: 12\n",
        "\n",
        "Mean height error: 5.7 cm\n",
        " STD height error: 5.9 cm\n",
        " Mean slope error: 0.3 cm/km\n",
        "  STD slope error: 2.1 cm/km\n"
       ]
      }
     ],
     "prompt_number": 34
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "**Results for Robust Linear Model:**"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print('Number of sub-reaches: %d\\n'%len(herror_rlm))\n",
      "herror_ave = N.mean(herror_rlm)\n",
      "herror_std = N.std(herror_rlm)\n",
      "print('Mean height error: %.1f cm'%herror_ave)\n",
      "print(' STD height error: %.1f cm'%herror_std)\n",
      "\n",
      "slp_error_ave = N.mean(slp_error_rlm)\n",
      "slp_error_std = N.std(slp_error_rlm)\n",
      "print(' Mean slope error: %.1f cm/km'%slp_error_ave)\n",
      "print('  STD slope error: %.1f cm/km'%slp_error_std)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Number of sub-reaches: 12\n",
        "\n",
        "Mean height error: 4.4 cm\n",
        " STD height error: 3.4 cm\n",
        " Mean slope error: 0.1 cm/km\n",
        "  STD slope error: 1.7 cm/km\n"
       ]
      }
     ],
     "prompt_number": 35
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 36
    }
   ],
   "metadata": {}
  }
 ]
}